Stepan A. Rogonov’s research while affiliated with Tver State University and other places

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Publications (2)


Figure 1. The possibility distribution function for a triangular class of fuzzy values T r(a, d)
Figure 2. Fuzzy random values of individual assets and the level of expected return (left) and the structure of the found minimum risk portfolio (right)
Figure 3. Quasi-efficient frontier of the minimum risk portfolio with α = 0.6 (the righthand arm of the parabola)
On the quasi-efficient frontier of the set of optimal portfolios under hybrid uncertainty with short sales allowed
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February 2024

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Control and Cybernetics

Stepan A. Rogonov

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Ilia S. Soldatenko

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Alexander V. Yazenin

The paper describes the methods for constructing a quasi-efficient frontier of minimum risk portfolio under conditions of hybrid uncertainty with allowed short sales. Investor’s acceptable level of expected return is defined in crisp and fuzzy forms. Obtained results are illustrated on a model example. The dependence of the quasi-efficient frontier on the value of α -level is investigated.

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On the Quasi-Efficient Frontier of the Set of Optimal Portfolios Under Hybrid Uncertainty with Short Sales Allowed

October 2023

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1 Read

The paper describes methods for constructing a quasi-efficient frontier of minimum risk portfolio under conditions of hybrid uncertainty with allowed short sales. Investor’s acceptable level of expected return is defined in crisp and fuzzy forms. Obtained results are illustrated on a model example. The dependence of the quasi-efficient frontier on the value of α\alpha -level is investigated.